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A Feynman integral depending on two elliptic curves

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arxiv 2205.04818 v2 pith:ODMDSNY7 submitted 2022-05-10 hep-th hep-ph

Hildegard Müller , Stefan Weinzierl This is my paper · ORCID
classification hep-thhep-ph
keywords curvesellipticfeynmandependingdifferentialentriesequationintegral
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abstract

We study a two-loop four-point function with one internal mass. This Feynman integral is one of the simplest Feynman integrals depending on two elliptic curves. We transform the associated differential equation into an $\varepsilon$-form. We study the entries of the differential equation, and in particular the entries which depend on both elliptic curves.

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  1. Electroweak double-box integrals for Moller scattering

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Presents epsilon-factorised master integrals, boundary values, and numerical routines for the planar and non-planar electroweak double-box families relevant to NNLO Moller scattering.

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